Webs and the Plebanski equation

被引：4
|
作者：
Krynski, Wojciech [1 ]
机构：
[1] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00959 Warsaw, Poland
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2016年 / 161卷 / 03期
关键词：
SYMMETRIC RICCI TENSOR; EINSTEIN-WEYL GEOMETRY; PROJECTIVE-STRUCTURES; KRONECKER WEBS; SURFACES; SYSTEMS; ODES;
D O I：
10.1017/S0305004116000463
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider 3-webs, hyper-para-complex structures and integrable Segre structures on manifolds of even dimension and generalise the second heavenly Plebanski equation in the context of higher-dimensional hyper-para-complex structures. We also characterise the Segre structures admitting a compatible hyper-para-complex structure in terms of systems of ordinary differential equations.
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页码：455 / 468
页数：14
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